Elliptic Curve Search Results

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Base field	Conductor norm	Isogenous curves	Base change curves	\(\Q\)-curves	CM curves
Torsion order	Isogeny degree	Torsion structure	j-invariant

Results (displaying both matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
23.3-a4	\(\Q(\zeta_{11})^+\)	23	23.3	23.3-a	\( \bigl[a^{4} - 4 a^{2} + a + 3\) , \( a^{3} + a^{2} - 4 a - 1\) , \( a^{4} - 4 a^{2} + a + 3\) , \( -372 a^{4} + 226 a^{3} + 1434 a^{2} - 609 a - 1191\) , \( -5104 a^{4} + 2964 a^{3} + 20110 a^{2} - 7895 a - 16315\bigr] \)
529.13-a4	\(\Q(\zeta_{11})^+\)	529	529.13	529.13-a	\( \bigl[a^{4} - 4 a^{2} + a + 2\) , \( -a^{4} + a^{3} + 4 a^{2} - 2 a - 3\) , \( a + 1\) , \( 16 a^{4} - 226 a^{3} - 579 a^{2} - 466 a - 368\) , \( -29097 a^{4} - 15344 a^{3} + 86856 a^{2} + 37964 a - 21888\bigr] \)